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A tank that holds 2000 liters initially contains 150 liters of water into which 30 grams...

A tank that holds 2000 liters initially contains 150 liters of water into which 30 grams of salt has been dissolved. Water is flowing into the tank at a rate of 20 liters/minute with a concentration of sin^2(πt) at any time, t. The liquid is well mixed, and flows out at a rate of 10 liters/minute. Set up, do not solve, a 1st order IVP to find the amount of salt in the tank at any time, t, after t = 0. Do not forget the initial conditions!

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